A square is made by joining four rods each of mass `M` and length `L`. Its moment of inertia about an axis PQ, in its plane and passing through one one of its corner is

Options

A. `6ML^(2)`
B. `4/3 ML^(2)`
C. `8/3 ML^(2)`
D. `10/3 ML^(2)+`

Answer

C

Explanation

`M.I.` about an axis passing through the diagonal
`I_(g)=(2ML^(2))/3 M.I.` about the given axis
`I=I_(g)+4M(L/(sqrt(2)))^(2)`